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Show the Proof

In [1]:
import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof
Out[1]:
 step typerequirementsstatement
0instantiation1, 2, 3, 4, 5, 6, 7*  ⊢  
  : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.summation.sum_split_before
2reference47  ⊢  
3reference49  ⊢  
4instantiation51, 52, 8  ⊢  
  : , : , :
5instantiation9, 38, 13, 30, 10, 11*, 20*  ⊢  
  : , : , :
6instantiation12, 41, 13, 14, 15, 16*, 17*  ⊢  
  : , : , :
7instantiation18, 19, 31, 35, 20  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.numerals.decimals.nat9
9theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
10instantiation21, 22  ⊢  
  :
11instantiation27, 23, 24  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.addition.weak_bound_via_left_term_bound
13theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
14instantiation51, 44, 25  ⊢  
  : , : , :
15instantiation26, 39  ⊢  
  :
16instantiation27, 28, 29  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.numerals.decimals.add_3_6
18theorem  ⊢  
 proveit.numbers.addition.subtraction.subtract_from_add
19instantiation51, 40, 30  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.numerals.decimals.add_5_1
21theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
22theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat5
23instantiation33, 31  ⊢  
  :
24instantiation34, 31, 36  ⊢  
  : , :
25instantiation51, 48, 32  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_lower_bound
27theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
28instantiation33, 35  ⊢  
  :
29instantiation34, 35, 36  ⊢  
  : , :
30instantiation51, 44, 37  ⊢  
  : , : , :
31instantiation51, 40, 38  ⊢  
  : , : , :
32instantiation51, 52, 39  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
34theorem  ⊢  
 proveit.numbers.addition.commutation
35instantiation51, 40, 41  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
37instantiation51, 48, 42  ⊢  
  : , : , :
38instantiation51, 44, 43  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
40theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
41instantiation51, 44, 45  ⊢  
  : , : , :
42instantiation51, 52, 46  ⊢  
  : , : , :
43instantiation51, 48, 47  ⊢  
  : , : , :
44theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
45instantiation51, 48, 49  ⊢  
  : , : , :
46theorem  ⊢  
 proveit.numbers.numerals.decimals.nat5
47instantiation51, 52, 50  ⊢  
  : , : , :
48theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
49instantiation51, 52, 53  ⊢  
  : , : , :
50theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
51theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
53theorem  ⊢  
 proveit.numbers.numerals.decimals.nat6
*equality replacement requirements